Submission #793591

# Submission time Handle Problem Language Result Execution time Memory
793591 2023-07-26T04:27:05 Z Jarif_Rahman Horses (IOI15_horses) C++17
100 / 100
731 ms 60780 KB
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;

const ll md = 1e9+7;
const ll L = 1e9+5;

struct segtree_for_product{
    int k = 1;
    vector<ll> P;
    segtree_for_product(int n){
        while(k < n) k<<=1;
        P.assign(2*k, 1);
    }
    void update(int i, ll x){
        i+=k;
        P[i] = x%md;
        i>>=1;
        while(i){
            P[i] = (P[i<<1]*P[(i<<1)+1])%md;
            i>>=1;
        }
    }
    ll product(int l, int r, int nd, int a, int b){
        if(a > r || b < l) return 1;
        if(a >= l && b <= r) return P[nd];
        int mid = (a+b)>>1;
        return (product(l, r, nd<<1, a, mid)*product(l, r, (nd<<1)+1, mid+1, b))%md;
    }
    ll product(int l, int r){
        return product(l, r, 1, 0, k-1);
    }
};

struct segtree_for_maximum{
    int k = 1;
    vector<ll> P;
    segtree_for_maximum(int n){
        while(k < n) k<<=1;
        P.assign(2*k, 0);
    }
    void update(int i, ll x){
        i+=k;
        P[i] = x;
        i>>=1;
        while(i){
            P[i] = max(P[i<<1], P[(i<<1)+1]);
            i>>=1;
        }
    }
    ll getmax(int l, int r, int nd, int a, int b){
        if(a > r || b < l) return 0;
        if(a >= l && b <= r) return P[nd];
        int mid = (a+b)>>1;
        return max(getmax(l, r, nd<<1, a, mid), getmax(l, r, (nd<<1)+1, mid+1, b));
    }
    ll getmax(int l, int r){
        return getmax(l, r, 1, 0, k-1);
    }
};

int n;
vector<int> X, Y;
segtree_for_product segx(0);
segtree_for_maximum segy(0);
set<int> candidates;

int query(){
    int fi = 0;
    ll p = 1;
    for(auto it = candidates.rbegin(); it != candidates.rend(); it++){
        p*=X[*it];
        if(p > L){
            fi = *it;
            break;
        }
    }

    ll ans = 0;
    p = 1;
    int j = fi;
    while(j < n){
        if(j != fi) p*=X[j];
        auto it = candidates.upper_bound(j);
        int nxt = n;
        if(it != candidates.end()) nxt = *it;
        ans = max(ans, p*segy.getmax(j, nxt-1));
        j = nxt;

    }
    ans%=md;
    ans*=segx.product(0, fi), ans%=md;
    return ans;
}

int init(int _n, int _X[], int _Y[]){
    swap(n, _n);
    X.resize(n), Y.resize(n);
    segx = segtree_for_product(n);
    segy = segtree_for_maximum(n);
    for(int i = 0; i < n; i++){
        X[i] = _X[i], Y[i] = _Y[i], segx.update(i, X[i]), segy.update(i, Y[i]);
        if(X[i] > 1) candidates.insert(i);
    }
    return query();
}

int updateX(int i, int x){
    if(X[i] > 1) candidates.erase(i);
    X[i] = x;
    if(X[i] > 1) candidates.insert(i);
    segx.update(i, x);
    return query();
}

int updateY(int i, int y){
    Y[i] = y;
    segy.update(i, y);
    return query();
}

Compilation message

horses.cpp: In function 'int query()':
horses.cpp:97:12: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   97 |     return ans;
      |            ^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 3 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 720 ms 49048 KB Output is correct
2 Correct 389 ms 49100 KB Output is correct
3 Correct 350 ms 49024 KB Output is correct
4 Correct 421 ms 49004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 240 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 121 ms 24680 KB Output is correct
34 Correct 112 ms 24684 KB Output is correct
35 Correct 235 ms 48140 KB Output is correct
36 Correct 218 ms 48116 KB Output is correct
37 Correct 142 ms 24684 KB Output is correct
38 Correct 163 ms 36576 KB Output is correct
39 Correct 105 ms 24548 KB Output is correct
40 Correct 224 ms 53968 KB Output is correct
41 Correct 122 ms 26604 KB Output is correct
42 Correct 129 ms 26636 KB Output is correct
43 Correct 207 ms 54332 KB Output is correct
44 Correct 202 ms 54360 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 292 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 224 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 3 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 731 ms 49004 KB Output is correct
34 Correct 351 ms 48988 KB Output is correct
35 Correct 353 ms 48948 KB Output is correct
36 Correct 404 ms 49020 KB Output is correct
37 Correct 112 ms 24652 KB Output is correct
38 Correct 110 ms 24676 KB Output is correct
39 Correct 250 ms 48108 KB Output is correct
40 Correct 233 ms 48044 KB Output is correct
41 Correct 140 ms 24680 KB Output is correct
42 Correct 160 ms 36612 KB Output is correct
43 Correct 103 ms 24564 KB Output is correct
44 Correct 215 ms 54048 KB Output is correct
45 Correct 126 ms 26600 KB Output is correct
46 Correct 121 ms 26692 KB Output is correct
47 Correct 198 ms 54380 KB Output is correct
48 Correct 242 ms 54360 KB Output is correct
49 Correct 181 ms 31624 KB Output is correct
50 Correct 171 ms 31700 KB Output is correct
51 Correct 398 ms 60780 KB Output is correct
52 Correct 307 ms 60376 KB Output is correct
53 Correct 474 ms 29972 KB Output is correct
54 Correct 338 ms 43444 KB Output is correct
55 Correct 168 ms 27696 KB Output is correct
56 Correct 275 ms 55828 KB Output is correct
57 Correct 289 ms 28260 KB Output is correct
58 Correct 346 ms 28740 KB Output is correct
59 Correct 237 ms 54300 KB Output is correct